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The representation and approximation for the weighted Minkowski inverse in Minkowski space
Mathematical and Computer Modelling, 2008 The paper is concerned with a generalisation of the weighted Moore-Penrose inverse of a complex matrix \(A\) by going over from (finite dimensional) Hilbert spaces to Minkowski spaces (endowed with a Hermitian inner product with signature \(+--\cdots-\)).
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Results in Mathematics, 1990
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Journal of Mathematical Physics, 1971
The purpose of this paper is to prove one of Zeeman's conjectures that the group of homeomorphisms of the finest topology on Minkowski space that induces the 3-dimensional Euclidean topology on spacelike hyperplanes is the one generated by the inhomogeneous Lorentz group and dilatations.
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The purpose of this paper is to prove one of Zeeman's conjectures that the group of homeomorphisms of the finest topology on Minkowski space that induces the 3-dimensional Euclidean topology on spacelike hyperplanes is the one generated by the inhomogeneous Lorentz group and dilatations.
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Quasicrystallographic groups on Minkowski spaces
Siberian Mathematical Journal, 2009Summary: We generalize the quasicrystallographic groups in the sense of Novikov and Veselov from Euclidean spaces to pseudo-Euclidean and affine spaces. We prove that the quasicrystallographic groups on Minkowski spaces whose rotation groups satisfy an additional assumption are projections of crystallographic groups on pseudo-Euclidean spaces.
Garipov, R. M., Churkin, V. A.
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Extended Minkowski spaces, zero norms, and Minkowski hypersurfaces
Journal of Mathematical Chemistry, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ramon Carbó-Dorca, Tanmoy Chakraborty
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On Dini Helicoids in the Minkowski Space
Journal of Mathematical Sciences, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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THE CHARACTERISTICS OF HYPERSPHERES IN MINKOWSKI SPACE
Acta Mathematica Scientia, 2003The authors, using a special \(Y\)-Riemann metric, study hyperspheres in a Minkowski space, and they give some characterizations of hyperspheres in a Minkowski space.
Chen, Xinyue, Yang, Wenmao
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PLATEAU'S PROBLEM IN MINKOWSKI SPACE
Analysis, 1985The author proves that any spacelike immersion of \(S^{n-2}\) into the n- dimensional Minkowski space which admits some spacelike extension to the unit ball \(B\subset {\mathbb{R}}^{n-1}\) is the boundary of a maximal (with respect to the induced metric) spacelike immersion of B. In the case \(n=3\) it is shown that such a maximal surface is in general
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On Bisectors in Minkowski Normed Spaces
Acta Mathematica Hungarica, 2000Let \(K\) be a symmetric (with respect to the origin) bounded convex body in \({\mathbb R}^n\), and \(N_K\) its Minkowski functional (or gauge). The bisector of the segment \([0,x]\) is the set of points which are equidistant of \(0\) and \(x\) for \(N_K\): \[ H_x=\{y\in {\mathbb R}^n ;\;N_K(y)=N_K(x-y)\} . \] \textit{M. M. Day} [Trans. Am. Math.
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